Re: Every set can be ... ordered?

[Patricia Shanahan]

tchow@xxxxxxxxxxxxx wrote:
> In article <1156564386.008543.306640@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
> Rupert <rupertmccallum@xxxxxxxxx> wrote:
> > Yes, your proof works as well. Also, {<x,x>|x in X} is always a partial
> > ordering on X, so the result really is trivial. 
>
> Isn't it even more trivial than that?  Surely the empty set is always a
> partial ordering on X.

Shouldn't a partial order be reflexive? {<x,x>|x in X} is reflexive, the
empty set isn't.

Patricia